Pith Number

pith:ECTBORKH

pith:2007:ECTBORKHLXXMJ77IGOPDHXQHTX

not attested not anchored not stored refs pending

An invariance principle for semimartingale reflecting Brownian motions in domains with piecewise smooth boundaries

R. J. Williams, W. Kang

arxiv:0704.0405 v1 · 2007-04-03 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECTBORKHLXXMJ77IGOPDHXQHTX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T15:52:55.607149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20a61745475deec4ffe8339e33de079dd6def2cf34473da48a4a7037398329df

Aliases

arxiv: 0704.0405 · arxiv_version: 0704.0405v1 · doi: 10.48550/arxiv.0704.0405 · pith_short_12: ECTBORKHLXXM · pith_short_16: ECTBORKHLXXMJ77I · pith_short_8: ECTBORKH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ECTBORKHLXXMJ77IGOPDHXQHTX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 20a61745475deec4ffe8339e33de079dd6def2cf34473da48a4a7037398329df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65d15b730e02c6ac2ef7e0c5dc9d77cc7895245297ad162cac431f1c4463be5f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-04-03T14:30:08Z",
    "title_canon_sha256": "0067e3b854eff0b12171a4bbc3ca3f65cde584f2f5dba5e42f8e4412a8ab3ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.0405",
    "kind": "arxiv",
    "version": 1
  }
}